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8675820020 = 22571492511657
BaseRepresentation
bin10000001010001111…
…01000000111110100
3211101122002022200102
420011013220013310
5120232002220040
63552520533232
7424665152630
oct100507500764
924348068612
108675820020
113752301a9a
121821621218
13a8356761a
145c4349dc0
1535b9e3515
hex2051e81f4

8675820020 has 96 divisors (see below), whose sum is σ = 21057926400. Its totient is φ = 2941056000.

The previous prime is 8675820019. The next prime is 8675820029. The reversal of 8675820020 is 200285768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8675820029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5235032 + ... + 5236688.

It is an arithmetic number, because the mean of its divisors is an integer number (219353400).

Almost surely, 28675820020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8675820020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528963200).

8675820020 is an abundant number, since it is smaller than the sum of its proper divisors (12382106380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8675820020 is a wasteful number, since it uses less digits than its factorization.

8675820020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 8675820020 is about 93144.0820449694. The cubic root of 8675820020 is about 2054.8029379098.

The spelling of 8675820020 in words is "eight billion, six hundred seventy-five million, eight hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 251 298 502 596 745 1004 1043 1255 1490 1657 1757 2086 2510 2980 3314 3514 4172 5020 5215 6628 7028 8285 8785 10430 11599 16570 17570 20860 23198 33140 35140 37399 46396 57995 74798 115990 149596 186995 231980 246893 261793 373990 415907 493786 523586 747980 831814 987572 1047172 1234465 1308965 1663628 1728251 2079535 2468930 2617930 2911349 3456502 4159070 4937860 5235860 5822698 6913004 8318140 8641255 11645396 14556745 17282510 29113490 34565020 58226980 61970143 123940286 247880572 309850715 433791001 619701430 867582002 1239402860 1735164004 2168955005 4337910010 8675820020